| Abstract and Concrete Categories: The Joy of Cats - Jiri Adamek, Horst Herrlich, George E. Strecker Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and Morphisms; Sources and Sinks; Factorization Structures; Adjoints and Monads; Topological and Algebraic Categories; Cartesian Closedness and Partial Morphisms. Lecture Notes Collection FreeScience.info ID1194 Obtained from http://katmat.math.uni-bremen.de/acc/acc.pdf http://www.freescience.info/go.php?pagename=books&id=1194 Keywords: Category Theory Downloads: 63 | |

| Categories and Homological Algebra - Pierre Schapira Contents: The language of categories; Limits; Additive categories; Abelian categories; Localization; Triangulated categories; Derived categories. Lecture Notes Collection FreeScience.info ID2877 Obtained from http://www.math.jussieu.fr/~schapira/lectnotes/HomAl.pdf http://www.freescience.info/go.php?pagename=books&id=2877 Keywords: Category Theory Downloads: 51 | |

| Reza Negarestani, Emancipation as Navigation 2014, HKW, Berlin Recordings from Emancipation as Navigation summer school that took place at the Haus der Kulturen der Welt in Berlin in July 2014. Reza Negarestani's lectures "The Matheme of the Universal" part one and part two Keywords: philosophy; navigation; category theory Downloads: 64 |

| Make Category Theory Intuitive! - Jocelyn Paine An essay on why we should encourage students and researchers to discover the branch of mathematics known as category theory, and how to do so. Keywords: category theory; machine learning; artificial intelligence; computer education Downloads: 290 | |

| Make Category Theory Intuitive! - Jocelyn Paine An essay on why we should encourage students and researchers to discover the branch of mathematics known as category theory, and how to do so. Keywords: category theory; machine learning; artificial intelligence; computer education Downloads: 244 | |

| Versus Laboratory Seminar 24: Fernando Zalamea, "Sheaf Logic & Philosophical Synthesis" - Fernando Zalamea NOTE: THE AUDIO QUALITY HAS BEEN SOMEWHAT IMPROVED IN THIS VERSION OF THE RECORDING. The point of this seminar is not only to acquaint us with the vibrant landscape of contemporary mathematics â and the field of sheaf logic and category theory, in particular â but to show us how this landscapeâs powerful new concepts can be deployed in the fields of philosophy and cultural production. Its aim is nothing less than to ignite a new way of thinking about universality and synthesis in the absence ... Keywords: Zalamea; Sheaves; Logic; Philosophy; Category Theory; JVE; Versus Downloads: 343 |

| Why Machine Learning and AI need Category Theory, and - Jocelyn Paine Some notes and suggestions on why category theory is useful in AI and machine learning, and on teaching it. Keywords: category theory; machine learning; artificial intelligence; computer education Downloads: 653 | |

| Versus Laboratory Seminar 24: Sheaf Logic & Philosophical Synthesis, with Fernando Zalamea - Fernando Zalamea The point of this seminar is not only to acquaint us with the vibrant landscape of contemporary mathematics – and the field of sheaf logic and category theory, in particular – but to show us how this landscape’s powerful new concepts can be deployed in the fields of philosophy and cultural production. Its aim is nothing less than to ignite a new way of thinking about universality and synthesis in the absence of any absolute foundation or stable, pre-given totality – a problem that mathem... Keywords: sheaf logic; category theory; Zalamea; versus; synthesis; mathematics; philosophy Downloads: 486 |

| Solvability in Classical Probabilistic Category Theory - Aloysius Vrandt Abstract: Let p' be an extrinsic factor. Recent interest in negative fields has centered on computing essentially Desargues groups. We show that von Neumann's conjecture is true in the context of stable, additive systems. So in this setting, the ability to describe intrinsic rings is essential. In future work, we plan to address questions of convergence as well as uniqueness. Keywords: Probabilistic category theory; Desargues groups; Von Neumann's conjecture; Intrinsic rings; Manifolds | |

| Freely Galileo-Russell Topoi over Manifolds - Aloysius Vrandt Abstract. Let O = U. A central problem in Riemannian category theory is the description of characteristic, Hermite, hyper-normal functions. We show that there exists a hyper-compactly Dirichlet orthogonal subalgebra. It was Shannon who first asked whether closed subsets can be computed. In this context, the results of [10] are highly relevant. Keywords: Manifolds; Galileo-Russell topoi; Riemannian category theory; Hyper-normal functions; Dirichlet orthogonal subalgebras; Closed subsets | |

| New Collection of Articles at PlanetPhysics.org : C to F entries - bci1 An alphabetically ordered collection of articles generated with Noosphere version 1.0 at PlanetPhysics.org : C to F entries. See also: http://planetphysics.us/ and the wiki version of planetphysics.org from: http://planetphysics.org/wikipl http://pp-wiki.metameso.org/wiki.pl (Coming soon also http://pp-dev.org/encyclopedia and a book of PlanetPhysics Encyclopedia) Keywords: quantum concepts and theories, complexity, chemical imaging techniques, chemical thermodynamics, category theory applications in physics, `fuzzy' systems in biology, fundamental concepts and Laws of Physics Downloads: 118 | |

| Theory and Applications of Ontology_ Computer Applications - Roberto Poli, Michael Healy, Achilles Kameas Theory and Applications of Ontology_ Computer Applications Keywords: ontology; ontologies; semantic; domain; context; theory; ontological; knowledge; web; formal; semantic web; formal ontology; ontology engineering; international conference; category theory; natural language; ubiquitous computing; knowledge representation; artificial intelligence; domain ontology Downloads: 361 | |

| On Quantum Nano-Automata and the Logics of Life - I. C. Baianu and James F. Glazebrook Abstract A novel approach to gene and neural networks, as well interactomics, in terms of quantum nano-automata formally represented in a categorical and Lukasiewicz-Topos framework of Lukasiewicz-Moisil (LM) Algebraic, many-valued (MV) Logics. General models of nonlinear dynamics in complex functional systems such as neural networks, genomes and cell interactomes are proposed based on categories of interacting quantum automata... Keywords: quantum automata and quantum computation,quantum nano-automata, LM--algebraic logic, LM--logic algebras, algebraic category of LM-logic algebras, fundamental theorems of LM-logic algebra, non-linear genetic networks, nonlinear dynamics; Epigenomics; Cellular Interactomics; Immunology and hormonal regulatory systems; category theory; functors and natural transformations; toposes and Heyting logic algebras; quantum automata categories; limits and colimits; quantum automata homomorphisms; Abelian category; bicomplete categories; Quantum Relational Biology; generalised metabolic-replication (M; -R)--systems; complex bionetworks; quantum logic; non-commutative lattices. Hilbert space; quantum computers; computability of complex biological systems; Cartesian closed categories; extended quantum topos; category of groupoids; dynamic realisations of generalised (M-R)--systems (GMRs); category of GMRs; compact subsystems of a GMR Downloads: 84 | |